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Finding the Fourth Proportional to 11,599.32, 16,006.62 and 6,293.96

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Solution

The fourth proportional to 11,599.32, 16,006.62 and 6,293.96 is: 8,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.32 : 16,006.62 = 6,293.96 : x
  2. Step 2: Convert to fraction form
    11,599.32/16,006.62 = 6,293.96/x
  3. Step 3: Cross multiply
    11,599.32x = 16,006.62 × 6,293.96
  4. Step 4: Simplify right side
    11,599.32x = 100,745,026.02
  5. Step 5: Solve for x
    x = 100,745,026.02/11,599.32
  6. Step 6: Final answer
    x = 8,685.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.